MATH 100 - Survey of Mathematics

Course Description

  • Prerequisite: "C" or higher in MATH 25 OR placement in MATH 100
  • Recommended Prep: Placement in ENG 22/60

A general survey of mathematics, with emphasis on its historical development and the role it plays in modern society.

Student Learning Outcomes

Upon successful completion of Math 100, the student will be able to:

  • Apply inductive and deductive reasoning in estimating and making conclusions.
  • Perform set operations of union, intersection, and complements by roster or Venn diagrams
  • Solve applied problems (e.g., survey analysis) using set operations
  • Represent numbers using various numeration systems, both ancient and modern
  • Perform arithmetic operations in various numeration systems
  • Perform operations of conjunction, disjunction, and negation on logic statements that are either represented symbolically or by Euler diagrams
  • Construct truth tables for compound logic statements
  • Determine the validity of an argument
  • Use counting methods, such as permutations and combinations
  • Calculate the probability of an event in a sample space and calculate the expected value of an event in a game
  • Represent a data set by a histogram and calculate its mean, mode, median, range, and standard deviation
  • Solve applied problems in consumer mathematics, including simple interest, compound interest, and installment buying.

In general, the course will develop the student's quantitative and analytical reasoning abilities and will familiarize the student with some of the different areas of mathematics so that the student might gain a better understanding of and appreciation for mathematics. Completion of this course with a "C" grade or higher, satisfies the three credits of quantitative reasoning requirement of many University of Hawaii Manoa programs.